## NCERT Solutions for Class 12 Maths Chapter 5 – Continuity and Differentiability Ex 5.4

#### Page No 174:

#### Question 1:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the quotient rule, we obtain

#### Question 2:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the chain rule, we obtain

#### Question 3:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the chain rule, we obtain

#### Question 4:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the chain rule, we obtain

#### Question 5:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the chain rule, we obtain

#### Question 6:

Differentiate the following w.r.t.

*x*:#### Answer:

#### Question 7:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

Then,

By differentiating this relationship with respect to

*x*, we obtain#### Question 8:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the chain rule, we obtain

,

*x*> 1#### Question 9:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the quotient rule, we obtain

#### Question 10:

Differentiate the following w.r.t.

*x*:#### Answer:

Let

By using the chain rule, we obtain

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